From 5ca816e4d31806b3b11cb82cc0eb7e7cc4a1e143 Mon Sep 17 00:00:00 2001
From: LABOURASSE Emmanuel <labourassee@gmail.com>
Date: Mon, 28 Sep 2020 18:05:57 +0200
Subject: [PATCH] New boundary condition treatment for Neumann
---
.../algorithms/HeatDiamondAlgorithm2.cpp | 906 ++++++++++++++++++
.../algorithms/HeatDiamondAlgorithm2.hpp | 29 +
2 files changed, 935 insertions(+)
create mode 100644 src/language/algorithms/HeatDiamondAlgorithm2.cpp
create mode 100644 src/language/algorithms/HeatDiamondAlgorithm2.hpp
diff --git a/src/language/algorithms/HeatDiamondAlgorithm2.cpp b/src/language/algorithms/HeatDiamondAlgorithm2.cpp
new file mode 100644
index 000000000..cfcfe8ef3
--- /dev/null
+++ b/src/language/algorithms/HeatDiamondAlgorithm2.cpp
@@ -0,0 +1,906 @@
+#include <language/algorithms/HeatDiamondAlgorithm2.hpp>
+
+#include <algebra/BiCGStab.hpp>
+#include <algebra/CRSMatrix.hpp>
+#include <algebra/LocalRectangularMatrix.hpp>
+#include <algebra/PCG.hpp>
+#include <algebra/SparseMatrixDescriptor.hpp>
+#include <algebra/TinyVector.hpp>
+#include <algebra/Vector.hpp>
+#include <language/utils/InterpolateItemValue.hpp>
+#include <mesh/Connectivity.hpp>
+#include <mesh/ConnectivityToDiamondDualConnectivityDataMapper.hpp>
+#include <mesh/DiamondDualConnectivityManager.hpp>
+#include <mesh/DiamondDualMeshManager.hpp>
+#include <mesh/Mesh.hpp>
+#include <mesh/MeshData.hpp>
+#include <mesh/MeshDataManager.hpp>
+#include <mesh/MeshNodeBoundary.hpp>
+#include <output/VTKWriter.hpp>
+#include <scheme/DirichletBoundaryConditionDescriptor.hpp>
+#include <scheme/FourierBoundaryConditionDescriptor.hpp>
+#include <scheme/NeumannBoundaryConditionDescriptor.hpp>
+#include <scheme/SymmetryBoundaryConditionDescriptor.hpp>
+
+template <size_t Dimension>
+HeatDiamondScheme2<Dimension>::HeatDiamondScheme2(
+ std::shared_ptr<const IMesh> i_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list,
+ const FunctionSymbolId& T_id,
+ const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id)
+{
+ using ConnectivityType = Connectivity<Dimension>;
+ using MeshType = Mesh<ConnectivityType>;
+ using MeshDataType = MeshData<Dimension>;
+
+ constexpr ItemType FaceType = [] {
+ if constexpr (Dimension > 1) {
+ return ItemType::face;
+ } else {
+ return ItemType::node;
+ }
+ }();
+
+ using BoundaryCondition = std::variant<DirichletBoundaryCondition, FourierBoundaryCondition, NeumannBoundaryCondition,
+ SymmetryBoundaryCondition>;
+
+ using BoundaryConditionList = std::vector<BoundaryCondition>;
+
+ BoundaryConditionList boundary_condition_list;
+
+ std::cout << "number of bc descr = " << bc_descriptor_list.size() << '\n';
+ std::shared_ptr mesh = std::dynamic_pointer_cast<const MeshType>(i_mesh);
+
+ NodeValue<bool> is_dirichlet{mesh->connectivity()};
+ is_dirichlet.fill(false);
+ NodeValue<double> dirichlet_value{mesh->connectivity()};
+ dirichlet_value.fill(std::numeric_limits<double>::signaling_NaN());
+
+ for (const auto& bc_descriptor : bc_descriptor_list) {
+ bool is_valid_boundary_condition = true;
+
+ switch (bc_descriptor->type()) {
+ case IBoundaryConditionDescriptor::Type::symmetry: {
+ // const SymmetryBoundaryConditionDescriptor& sym_bc_descriptor =
+ // dynamic_cast<const SymmetryBoundaryConditionDescriptor&>(*bc_descriptor);
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::dirichlet: {
+ const DirichletBoundaryConditionDescriptor& dirichlet_bc_descriptor =
+ dynamic_cast<const DirichletBoundaryConditionDescriptor&>(*bc_descriptor);
+
+ for (size_t i_ref_face_list = 0; i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>();
+ ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == dirichlet_bc_descriptor.boundaryDescriptor()) {
+ MeshNodeBoundary<Dimension> mesh_node_boundary{mesh, ref_face_list};
+
+ const FunctionSymbolId g_id = dirichlet_bc_descriptor.rhsSymbolId();
+
+ const auto& node_list = mesh_node_boundary.nodeList();
+
+ Array<const double> value_list =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::node>(g_id, mesh->xr(),
+ node_list);
+
+ for (size_t i_node = 0; i_node < node_list.size(); ++i_node) {
+ NodeId node_id = node_list[i_node];
+ if (not is_dirichlet[node_id]) {
+ is_dirichlet[node_id] = true;
+ dirichlet_value[node_id] = value_list[i_node];
+ }
+ }
+
+ boundary_condition_list.push_back(DirichletBoundaryCondition{node_list, value_list});
+ }
+ }
+
+ if constexpr (Dimension > 1) {
+ for (size_t i_ref_node_list = 0;
+ i_ref_node_list < mesh->connectivity().template numberOfRefItemList<ItemType::node>(); ++i_ref_node_list) {
+ const auto& ref_node_list = mesh->connectivity().template refItemList<ItemType::node>(i_ref_node_list);
+ const RefId& ref = ref_node_list.refId();
+ if (ref == dirichlet_bc_descriptor.boundaryDescriptor()) {
+ const FunctionSymbolId g_id = dirichlet_bc_descriptor.rhsSymbolId();
+
+ const auto& node_list = ref_node_list.list();
+
+ Array<const double> value_list =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::node>(g_id,
+ mesh->xr(),
+ node_list);
+
+ for (size_t i_node = 0; i_node < node_list.size(); ++i_node) {
+ NodeId node_id = node_list[i_node];
+ if (not is_dirichlet[node_id]) {
+ is_dirichlet[node_id] = true;
+ dirichlet_value[node_id] = value_list[i_node];
+ }
+ }
+
+ boundary_condition_list.push_back(DirichletBoundaryCondition{node_list, value_list});
+ }
+ }
+ }
+
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::fourier: {
+ // const FourierBoundaryConditionDescriptor& fourier_bc_descriptor =
+ // dynamic_cast<const FourierBoundaryConditionDescriptor&>(*bc_descriptor);
+ throw NotImplementedError("NIY");
+ break;
+ }
+ case IBoundaryConditionDescriptor::Type::neumann: {
+ const NeumannBoundaryConditionDescriptor& neumann_bc_descriptor =
+ dynamic_cast<const NeumannBoundaryConditionDescriptor&>(*bc_descriptor);
+
+ for (size_t i_ref_face_list = 0; i_ref_face_list < mesh->connectivity().template numberOfRefItemList<FaceType>();
+ ++i_ref_face_list) {
+ const auto& ref_face_list = mesh->connectivity().template refItemList<FaceType>(i_ref_face_list);
+ const RefId& ref = ref_face_list.refId();
+ if (ref == neumann_bc_descriptor.boundaryDescriptor()) {
+ const FunctionSymbolId g_id = neumann_bc_descriptor.rhsSymbolId();
+
+ if constexpr (Dimension > 1) {
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ Array<const FaceId> face_list = ref_face_list.list();
+ Array<const double> value_list =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::face>(g_id,
+ mesh_data.xl(),
+ face_list);
+ boundary_condition_list.push_back(NeumannBoundaryCondition{face_list, value_list});
+ } else {
+ throw NotImplementedError("Neumann conditions are not supported in 1d");
+ }
+ }
+ }
+ break;
+ }
+ default: {
+ is_valid_boundary_condition = false;
+ }
+ }
+ if (not is_valid_boundary_condition) {
+ std::ostringstream error_msg;
+ error_msg << *bc_descriptor << " is an invalid boundary condition for heat equation";
+ throw NormalError(error_msg.str());
+ }
+ }
+
+ if constexpr (Dimension > 1) {
+ const CellValue<const size_t> cell_dof_number = [&] {
+ CellValue<size_t> compute_cell_dof_number{mesh->connectivity()};
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { compute_cell_dof_number[cell_id] = cell_id; });
+ return compute_cell_dof_number;
+ }();
+ size_t number_of_dof = mesh->numberOfCells();
+
+ const FaceValue<const size_t> face_dof_number = [&] {
+ FaceValue<size_t> compute_face_dof_number{mesh->connectivity()};
+ compute_face_dof_number.fill(std::numeric_limits<size_t>::max());
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>) or
+ (std::is_same_v<T, SymmetryBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ const FaceId face_id = face_list[i_face];
+ if (compute_face_dof_number[face_id] != std::numeric_limits<size_t>::max()) {
+ std::ostringstream os;
+ os << "The face " << face_id << " is used at least twice for boundary conditions";
+ throw NormalError(os.str());
+ } else {
+ compute_face_dof_number[face_id] = number_of_dof++;
+ }
+ }
+ }
+ },
+ boundary_condition);
+ }
+
+ return compute_face_dof_number;
+ }();
+
+ const auto& primal_face_to_node_matrix = mesh->connectivity().faceToNodeMatrix();
+ const auto& face_to_cell_matrix = mesh->connectivity().faceToCellMatrix();
+ NodeValue<bool> primal_node_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of node_is_on_boundary is incorrect");
+ }
+
+ primal_node_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+ primal_node_is_on_boundary[node_id] = true;
+ }
+ }
+ }
+
+ FaceValue<bool> primal_face_is_on_boundary(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_on_boundary is incorrect");
+ }
+
+ primal_face_is_on_boundary.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (face_to_cell_matrix[face_id].size() == 1) {
+ primal_face_is_on_boundary[face_id] = true;
+ }
+ }
+
+ FaceValue<bool> primal_face_is_neumann(mesh->connectivity());
+ if (parallel::size() > 1) {
+ throw NotImplementedError("Calculation of face_is_neumann is incorrect");
+ }
+
+ primal_face_is_neumann.fill(false);
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (primal_face_is_on_boundary[face_id]) {
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+ if (not is_dirichlet[node_id]) {
+ primal_face_is_neumann[face_id] = true;
+ }
+ }
+ }
+ }
+ MeshDataType& mesh_data = MeshDataManager::instance().getMeshData(*mesh);
+
+ CellValue<double> Tj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(T_id, mesh_data.xj());
+
+ NodeValue<double> Tr(mesh->connectivity());
+ const NodeValue<const TinyVector<Dimension>>& xr = mesh->xr();
+
+ const FaceValue<const TinyVector<Dimension>>& xl = mesh_data.xl();
+ const CellValue<const TinyVector<Dimension>>& xj = mesh_data.xj();
+ const auto& node_to_cell_matrix = mesh->connectivity().nodeToCellMatrix();
+ const auto& node_to_face_matrix = mesh->connectivity().nodeToFaceMatrix();
+ CellValuePerNode<double> w_rj{mesh->connectivity()};
+ FaceValuePerNode<double> w_rl{mesh->connectivity()};
+
+ for (size_t i = 0; i < w_rl.numberOfValues(); ++i) {
+ w_rl[i] = std::numeric_limits<double>::signaling_NaN();
+ }
+
+ for (NodeId i_node = 0; i_node < mesh->numberOfNodes(); ++i_node) {
+ Vector<double> b{Dimension + 1};
+ b[0] = 1;
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ b[i] = xr[i_node][i - 1];
+ }
+ const auto& node_to_cell = node_to_cell_matrix[i_node];
+
+ if (not primal_node_is_on_boundary[i_node]) {
+ LocalRectangularMatrix<double> A{Dimension + 1, node_to_cell.size()};
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ A(0, j) = 1;
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ const CellId J = node_to_cell[j];
+ A(i, j) = xj[J][i - 1];
+ }
+ }
+ Vector<double> x{node_to_cell.size()};
+ x = 0;
+
+ LocalRectangularMatrix B = transpose(A) * A;
+ Vector y = transpose(A) * b;
+ PCG<false>{y, B, B, x, 10, 1e-12};
+
+ Tr[i_node] = 0;
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ Tr[i_node] += x[j] * Tj[node_to_cell[j]];
+ w_rj(i_node, j) = x[j];
+ }
+ } else {
+ int nb_face_used = 0;
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ nb_face_used++;
+ }
+ }
+ LocalRectangularMatrix<double> A{Dimension + 1, node_to_cell.size() + nb_face_used};
+ for (size_t j = 0; j < node_to_cell.size() + nb_face_used; j++) {
+ A(0, j) = 1;
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ const CellId J = node_to_cell[j];
+ A(i, j) = xj[J][i - 1];
+ }
+ }
+ for (size_t i = 1; i < Dimension + 1; i++) {
+ int cpt_face = 0;
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ A(i, node_to_cell.size() + cpt_face) = xl[face_id][i - 1];
+ cpt_face++;
+ }
+ }
+ }
+
+ Vector<double> x{node_to_cell.size() + nb_face_used};
+ x = 0;
+
+ LocalRectangularMatrix B = transpose(A) * A;
+ Vector y = transpose(A) * b;
+ PCG<false>{y, B, B, x, 10, 1e-12};
+
+ Tr[i_node] = 0;
+ for (size_t j = 0; j < node_to_cell.size(); j++) {
+ Tr[i_node] += x[j] * Tj[node_to_cell[j]];
+ w_rj(i_node, j) = x[j];
+ }
+ int cpt_face = node_to_cell.size();
+ for (size_t i_face = 0; i_face < node_to_face_matrix[i_node].size(); ++i_face) {
+ FaceId face_id = node_to_face_matrix[i_node][i_face];
+ if (primal_face_is_on_boundary[face_id]) {
+ w_rl(i_node, i_face) = x[cpt_face++];
+ }
+ }
+ }
+ }
+
+ {
+ VTKWriter vtk_writer("T_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(mesh,
+ {NamedItemValue{"Tr", Tr}, NamedItemValue{"temperature", Tj},
+ NamedItemValue{"coords", mesh->xr()}, NamedItemValue{"xj", mesh_data.xj()},
+ NamedItemValue{"cell_owner", mesh->connectivity().cellOwner()},
+ NamedItemValue{"node_owner", mesh->connectivity().nodeOwner()}},
+ 0, true); // forces last output
+ }
+
+ {
+ std::shared_ptr diamond_mesh = DiamondDualMeshManager::instance().getDiamondDualMesh(mesh);
+
+ MeshDataType& diamond_mesh_data = MeshDataManager::instance().getMeshData(*diamond_mesh);
+
+ std::shared_ptr mapper =
+ DiamondDualConnectivityManager::instance().getConnectivityToDiamondDualConnectivityDataMapper(
+ mesh->connectivity());
+
+ NodeValue<double> Trd{diamond_mesh->connectivity()};
+
+ mapper->toDualNode(Tr, Tj, Trd);
+
+ CellValue<double> kappaj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(kappa_id,
+ mesh_data.xj());
+
+ CellValue<double> dual_kappaj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(kappa_id,
+ diamond_mesh_data
+ .xj());
+
+ VTKWriter vtk_writer("D_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(diamond_mesh,
+ {NamedItemValue{"kappaj", dual_kappaj}, NamedItemValue{"coords", diamond_mesh->xr()},
+ NamedItemValue{"Vj", diamond_mesh_data.Vj()}, NamedItemValue{"xj", diamond_mesh_data.xj()}},
+ 0, true); // forces last output
+
+ const CellValue<const double> dual_Vj = diamond_mesh_data.Vj();
+
+ const FaceValue<const double> mes_l = [&] {
+ if constexpr (Dimension == 1) {
+ FaceValue<double> compute_mes_l{mesh->connectivity()};
+ compute_mes_l.fill(1);
+ return compute_mes_l;
+ } else {
+ return mesh_data.ll();
+ }
+ }();
+
+ const CellValue<const double> dual_mes_l_j = [=] {
+ CellValue<double> compute_mes_j{diamond_mesh->connectivity()};
+ mapper->toDualCell(mes_l, compute_mes_j);
+
+ return compute_mes_j;
+ }();
+
+ FaceValue<const double> alpha_l = [&] {
+ CellValue<double> alpha_j{diamond_mesh->connectivity()};
+
+ parallel_for(
+ diamond_mesh->numberOfCells(), PUGS_LAMBDA(CellId diamond_cell_id) {
+ alpha_j[diamond_cell_id] =
+ dual_mes_l_j[diamond_cell_id] * dual_kappaj[diamond_cell_id] / dual_Vj[diamond_cell_id];
+ });
+
+ FaceValue<double> computed_alpha_l{mesh->connectivity()};
+ mapper->fromDualCell(alpha_j, computed_alpha_l);
+
+ VTKWriter vtk_writer("DD_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(diamond_mesh,
+ {NamedItemValue{"alphaj", alpha_j}, NamedItemValue{"xj", diamond_mesh_data.xj()},
+ NamedItemValue{"Vl", diamond_mesh_data.Vj()}, NamedItemValue{"|l|", dual_mes_l_j}},
+ 0,
+ true); // forces last output
+
+ return computed_alpha_l;
+ }();
+
+ SparseMatrixDescriptor S{number_of_dof};
+ // A^{JJ} & A^{LJ}
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ // if (not primal_face_is_neumann[face_id]) { COMMENTE
+ const auto& primal_face_to_cell = face_to_cell_matrix[face_id];
+ const double beta_l = 1. / Dimension * alpha_l[face_id] * mes_l[face_id];
+
+ for (size_t i_cell = 0; i_cell < primal_face_to_cell.size(); ++i_cell) {
+ const CellId cell_id1 = primal_face_to_cell[i_cell];
+ for (size_t j_cell = 0; j_cell < primal_face_to_cell.size(); ++j_cell) {
+ const CellId cell_id2 = primal_face_to_cell[j_cell];
+ if (i_cell == j_cell) {
+ S(cell_dof_number[cell_id1], cell_dof_number[cell_id2]) += beta_l;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], cell_dof_number[cell_id2]) += beta_l; // AJOUT EL
+ }
+ } else {
+ S(cell_dof_number[cell_id1], cell_dof_number[cell_id2]) -= beta_l;
+ }
+ }
+ }
+ }
+
+ FaceValue<const CellId> face_dual_cell_id = [=]() {
+ FaceValue<CellId> computed_face_dual_cell_id{mesh->connectivity()};
+ CellValue<CellId> dual_cell_id{diamond_mesh->connectivity()};
+ parallel_for(
+ diamond_mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { dual_cell_id[cell_id] = cell_id; });
+
+ mapper->fromDualCell(dual_cell_id, computed_face_dual_cell_id);
+
+ return computed_face_dual_cell_id;
+ }();
+
+ NodeValue<const NodeId> dual_node_primal_node_id = [=]() {
+ CellValue<NodeId> cell_ignored_id{mesh->connectivity()};
+ cell_ignored_id.fill(NodeId{std::numeric_limits<unsigned int>::max()});
+
+ NodeValue<NodeId> node_primal_id{mesh->connectivity()};
+
+ parallel_for(
+ mesh->numberOfNodes(), PUGS_LAMBDA(NodeId node_id) { node_primal_id[node_id] = node_id; });
+
+ NodeValue<NodeId> computed_dual_node_primal_node_id{diamond_mesh->connectivity()};
+
+ mapper->toDualNode(node_primal_id, cell_ignored_id, computed_dual_node_primal_node_id);
+
+ return computed_dual_node_primal_node_id;
+ }();
+
+ const auto& dual_Cjr = diamond_mesh_data.Cjr();
+
+ const auto& dual_cell_to_node_matrix = diamond_mesh->connectivity().cellToNodeMatrix();
+
+ const NodeValuePerFace<const TinyVector<Dimension>> primal_nlr = mesh_data.nlr();
+ const auto& primal_face_cell_is_reversed = mesh->connectivity().cellFaceIsReversed();
+ const auto& face_local_numbers_in_their_cells = mesh->connectivity().faceLocalNumbersInTheirCells();
+ const auto& primal_node_to_cell_matrix = mesh->connectivity().nodeToCellMatrix();
+ // A^{JR}A^{RJ} & A^{JR}A^{RL} & A^{LR}A^{RL}
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ // if (face_to_cell_matrix[face_id].size() > 1) { COMMENTE
+ const double alpha_face_id = alpha_l[face_id];
+
+ for (size_t i_face_cell = 0; i_face_cell < face_to_cell_matrix[face_id].size(); ++i_face_cell) {
+ CellId i_id = face_to_cell_matrix[face_id][i_face_cell];
+ const bool is_face_reversed_for_cell_i =
+ primal_face_cell_is_reversed(i_id, face_local_numbers_in_their_cells(face_id, i_face_cell));
+
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+
+ if (not is_dirichlet[node_id]) {
+ const TinyVector<Dimension> nil = [&] {
+ if (is_face_reversed_for_cell_i) {
+ return -primal_nlr(face_id, i_node);
+ } else {
+ return primal_nlr(face_id, i_node);
+ }
+ }();
+
+ CellId dual_cell_id = face_dual_cell_id[face_id];
+
+ for (size_t i_dual_node = 0; i_dual_node < dual_cell_to_node_matrix[dual_cell_id].size(); ++i_dual_node) {
+ const NodeId dual_node_id = dual_cell_to_node_matrix[dual_cell_id][i_dual_node];
+ if (dual_node_primal_node_id[dual_node_id] == node_id) {
+ const TinyVector<Dimension> Clr = dual_Cjr(dual_cell_id, i_dual_node);
+
+ const double a_ir = alpha_face_id * (nil, Clr);
+
+ for (size_t j_cell = 0; j_cell < primal_node_to_cell_matrix[node_id].size(); ++j_cell) {
+ CellId j_id = primal_node_to_cell_matrix[node_id][j_cell];
+ S(cell_dof_number[i_id], cell_dof_number[j_id]) -= w_rj(node_id, j_cell) * a_ir;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], cell_dof_number[j_id]) -= w_rj(node_id, j_cell) * a_ir; // AJOUT
+ }
+ }
+ if (primal_node_is_on_boundary[node_id]) {
+ for (size_t l_face = 0; l_face < node_to_face_matrix[node_id].size(); ++l_face) {
+ FaceId l_id = node_to_face_matrix[node_id][l_face];
+ if (primal_face_is_neumann[l_id]) {
+ S(cell_dof_number[i_id], face_dof_number[l_id]) -= w_rl(node_id, l_face) * a_ir;
+ if (primal_face_is_neumann[face_id]) {
+ S(face_dof_number[face_id], face_dof_number[l_id]) -= w_rl(node_id, l_face) * a_ir; // AJOUT
+ }
+ // S(face_dof_number[l_id], cell_dof_number[i_id]) += w_rl(node_id, l_face) * a_ir;
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ // COMMENTE POUR L INSTANT PAS DE FOURIER
+ // for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ // if (primal_face_is_neumann[face_id]) {
+ // S(face_dof_number[face_id], face_dof_number[face_id]) += mes_l[face_id] * delta[face_id] ;
+ // }
+ // }
+
+ CellValue<double> fj =
+ InterpolateItemValue<double(TinyVector<Dimension>)>::template interpolate<ItemType::cell>(f_id, mesh_data.xj());
+
+ const CellValue<const double> primal_Vj = mesh_data.Vj();
+
+ CRSMatrix A{S};
+ Vector<double> b{number_of_dof};
+
+ const auto& primal_cell_to_face_matrix = mesh->connectivity().cellToFaceMatrix();
+ for (CellId cell_id = 0; cell_id < mesh->numberOfCells(); ++cell_id) {
+ b[cell_dof_number[cell_id]] = fj[cell_id] * primal_Vj[cell_id];
+ }
+
+ { // Dirichlet -A^{JR}b^R & -A^{LR}b^R
+ NodeValue<bool> node_tag{mesh->connectivity()};
+ node_tag.fill(false);
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr (std::is_same_v<T, DirichletBoundaryCondition>) {
+ const auto& node_list = bc.nodeList();
+ const auto& value_list = bc.valueList();
+ for (size_t i_node = 0; i_node < node_list.size(); ++i_node) {
+ const NodeId node_id = node_list[i_node];
+ if (not node_tag[node_id]) {
+ node_tag[node_id] = true;
+
+ const auto& node_cells = primal_node_to_cell_matrix[node_id];
+ for (size_t i_cell = 0; i_cell < node_cells.size(); ++i_cell) {
+ const CellId cell_id = node_cells[i_cell];
+
+ const auto& primal_cell_to_face = primal_cell_to_face_matrix[cell_id];
+
+ for (size_t i_cell_face = 0; i_cell_face < primal_cell_to_face.size(); ++i_cell_face) {
+ FaceId face_id = primal_cell_to_face_matrix[cell_id][i_cell_face];
+
+ const bool is_face_reversed_for_cell_i = [=] {
+ for (size_t i_face = 0; i_face < primal_cell_to_face.size(); ++i_face) {
+ FaceId primal_face_id = primal_cell_to_face[i_face];
+ if (primal_face_id == face_id) {
+ return primal_face_cell_is_reversed(cell_id, i_face);
+ }
+ }
+ Assert(false, "cannot find cell's face");
+ return false;
+ }();
+
+ const auto& primal_face_to_node = primal_face_to_node_matrix[face_id];
+
+ for (size_t i_face_node = 0; i_face_node < primal_face_to_node.size(); ++i_face_node) {
+ if (primal_face_to_node[i_face_node] == node_id) {
+ const TinyVector<Dimension> nil = [=] {
+ if (is_face_reversed_for_cell_i) {
+ return -primal_nlr(face_id, i_face_node);
+ } else {
+ return primal_nlr(face_id, i_face_node);
+ }
+ }();
+
+ CellId dual_cell_id = face_dual_cell_id[face_id];
+
+ for (size_t i_dual_node = 0; i_dual_node < dual_cell_to_node_matrix[dual_cell_id].size();
+ ++i_dual_node) {
+ const NodeId dual_node_id = dual_cell_to_node_matrix[dual_cell_id][i_dual_node];
+ if (dual_node_primal_node_id[dual_node_id] == node_id) {
+ const TinyVector<Dimension> Clr = dual_Cjr(dual_cell_id, i_dual_node);
+ b[cell_dof_number[cell_id]] += alpha_l[face_id] * value_list[i_node] * (nil, Clr);
+ if (primal_face_is_neumann[face_id]) {
+ b[face_dof_number[face_id]] += alpha_l[face_id] * value_list[i_node] * (nil, Clr);
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+ },
+ boundary_condition);
+ }
+ }
+ // EL b^L
+ for (const auto& boundary_condition : boundary_condition_list) {
+ std::visit(
+ [&](auto&& bc) {
+ using T = std::decay_t<decltype(bc)>;
+ if constexpr ((std::is_same_v<T, NeumannBoundaryCondition>) or
+ (std::is_same_v<T, FourierBoundaryCondition>)) {
+ const auto& face_list = bc.faceList();
+ const auto& value_list = bc.valueList();
+ for (size_t i_face = 0; i_face < face_list.size(); ++i_face) {
+ FaceId face_id = face_list[i_face];
+ Assert(face_to_cell_matrix[face_id].size() == 1);
+ b[face_dof_number[face_id]] += mes_l[face_id] * value_list[i_face];
+ }
+ }
+ },
+ boundary_condition);
+ }
+ // EL COMMENTE
+ // for (const auto& boundary_condition : boundary_condition_list) {
+ // std::visit(
+ // [&](auto&& bc) {
+ // using T = std::decay_t<decltype(bc)>;
+ // if constexpr (std::is_same_v<T, DirichletBoundaryCondition>) {
+ // const auto& node_list = bc.nodeList();
+ // const auto& value_list = bc.valueList();
+ // for (size_t i_node = 0; i_node < node_list.size(); ++i_node) {
+ // NodeId node_id = node_list[i_node];
+ // for (size_t i_face = 0; i_face < node_to_face_matrix[node_id].size(); ++i_face) {
+ // FaceId face_id = node_to_face_matrix[node_id][i_face];
+ // if (primal_face_is_neumann[face_id]) { // HARD ajouter contribution dirchlet à face neumann
+ // A^{LR} b^R
+ // int nb_node_per_face = primal_face_to_node_matrix[face_id].size();
+ // b[face_dof_number[face_id]] += (1. / nb_node_per_face) * value_list[i_node];
+ // }
+ // }
+ // }
+ // }
+ // },
+ // boundary_condition);
+ // }
+
+ for (FaceId face_id = 0; face_id < mesh->numberOfFaces(); ++face_id) {
+ if (primal_face_is_neumann[face_id]) {
+ CellId cell_id = face_to_cell_matrix[face_id][0];
+ const bool is_face_reversed_for_cell_i =
+ primal_face_cell_is_reversed(cell_id, face_local_numbers_in_their_cells(face_id, 0));
+ for (size_t i_node = 0; i_node < primal_face_to_node_matrix[face_id].size(); ++i_node) {
+ NodeId node_id = primal_face_to_node_matrix[face_id][i_node];
+ if (is_dirichlet[node_id]) {
+ const TinyVector<Dimension> nil = [&] {
+ if (is_face_reversed_for_cell_i) {
+ return -primal_nlr(face_id, i_node);
+ } else {
+ return primal_nlr(face_id, i_node);
+ }
+ }();
+ CellId dual_cell_id = face_dual_cell_id[face_id];
+
+ for (size_t i_dual_node = 0; i_dual_node < dual_cell_to_node_matrix[dual_cell_id].size(); ++i_dual_node) {
+ const NodeId dual_node_id = dual_cell_to_node_matrix[dual_cell_id][i_dual_node];
+ if (dual_node_primal_node_id[dual_node_id] == node_id) {
+ const TinyVector<Dimension> Clr = dual_Cjr(dual_cell_id, i_dual_node);
+ b[cell_dof_number[cell_id]] -= alpha_l[face_id] * (nil, Clr) * dirichlet_value[node_id]; ///
+ }
+ }
+ }
+ }
+ }
+ }
+
+ Vector<double> T{number_of_dof};
+ T = 0;
+ std::cout << " Matrix " << S << "\n";
+ for (size_t k = 0; k < b.size(); ++k) {
+ std::cout << " b[" << k << "]=" << b[k] << ", ";
+ }
+ std::cout << "\n";
+ BiCGStab{b, A, T, 1000, 1e-15};
+
+ Vector r = A * T - b;
+
+ std::cout << "real residu = " << std::sqrt((r, r)) << '\n';
+
+ CellValue<double> Temperature{mesh->connectivity()};
+
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) { Temperature[cell_id] = T[cell_dof_number[cell_id]]; });
+
+ Vector<double> error{mesh->numberOfCells()};
+ CellValue<double> cell_error{mesh->connectivity()};
+ double error_max = 0.;
+ size_t cell_max = 0;
+ parallel_for(
+ mesh->numberOfCells(), PUGS_LAMBDA(CellId cell_id) {
+ error[cell_id] = (Temperature[cell_id] - Tj[cell_id]) * sqrt(primal_Vj[cell_id]);
+ cell_error[cell_id] = (Temperature[cell_id] - Tj[cell_id]) * sqrt(primal_Vj[cell_id]);
+ });
+ for (size_t cell_id = 0; cell_id < mesh->numberOfCells(); cell_id++) {
+ if (error_max < std::abs(error[cell_id])) {
+ error_max = std::abs(error[cell_id]);
+ cell_max = cell_id;
+ }
+ }
+
+ std::cout << " ||Error||_max = " << error_max << " on cell " << cell_max << "\n";
+ std::cout << "||Error||_2 = " << std::sqrt((error, error)) << "\n";
+
+ {
+ VTKWriter vtk_writer("Temperature_" + std::to_string(Dimension), 0.01);
+
+ vtk_writer.write(mesh,
+ {NamedItemValue{"T", Temperature}, NamedItemValue{"Vj", primal_Vj},
+ NamedItemValue{"Texact", Tj}, NamedItemValue{"error", cell_error}},
+ 0,
+ true); // forces last output
+ }
+ }
+ } else {
+ throw NotImplementedError("not done in 1d");
+ }
+}
+
+template <size_t Dimension>
+class HeatDiamondScheme2<Dimension>::DirichletBoundaryCondition
+{
+ private:
+ const Array<const double> m_value_list;
+ const Array<const NodeId> m_node_list;
+
+ public:
+ const Array<const NodeId>&
+ nodeList() const
+ {
+ return m_node_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ DirichletBoundaryCondition(const Array<const NodeId>& node_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_node_list{node_list}
+ {
+ Assert(m_value_list.size() == m_node_list.size());
+ }
+
+ ~DirichletBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class HeatDiamondScheme2<Dimension>::NeumannBoundaryCondition
+{
+ private:
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ NeumannBoundaryCondition(const Array<const FaceId>& face_list, const Array<const double>& value_list)
+ : m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~NeumannBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class HeatDiamondScheme2<Dimension>::FourierBoundaryCondition
+{
+ private:
+ const Array<const double> m_coef_list;
+ const Array<const double> m_value_list;
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ const Array<const double>&
+ valueList() const
+ {
+ return m_value_list;
+ }
+
+ const Array<const double>&
+ coefList() const
+ {
+ return m_coef_list;
+ }
+
+ public:
+ FourierBoundaryCondition(const Array<const FaceId>& face_list,
+ const Array<const double>& coef_list,
+ const Array<const double>& value_list)
+ : m_coef_list{coef_list}, m_value_list{value_list}, m_face_list{face_list}
+ {
+ Assert(m_coef_list.size() == m_face_list.size());
+ Assert(m_value_list.size() == m_face_list.size());
+ }
+
+ ~FourierBoundaryCondition() = default;
+};
+
+template <size_t Dimension>
+class HeatDiamondScheme2<Dimension>::SymmetryBoundaryCondition
+{
+ private:
+ const Array<const FaceId> m_face_list;
+
+ public:
+ const Array<const FaceId>&
+ faceList() const
+ {
+ return m_face_list;
+ }
+
+ public:
+ SymmetryBoundaryCondition(const Array<const FaceId>& face_list) : m_face_list{face_list} {}
+
+ ~SymmetryBoundaryCondition() = default;
+};
+
+template HeatDiamondScheme2<1>::HeatDiamondScheme2(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&);
+
+template HeatDiamondScheme2<2>::HeatDiamondScheme2(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&);
+
+template HeatDiamondScheme2<3>::HeatDiamondScheme2(
+ std::shared_ptr<const IMesh>,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&,
+ const FunctionSymbolId&);
diff --git a/src/language/algorithms/HeatDiamondAlgorithm2.hpp b/src/language/algorithms/HeatDiamondAlgorithm2.hpp
new file mode 100644
index 000000000..2cf388ed1
--- /dev/null
+++ b/src/language/algorithms/HeatDiamondAlgorithm2.hpp
@@ -0,0 +1,29 @@
+#ifndef HEAT_DIAMOND_ALGORITHM2_HPP
+#define HEAT_DIAMOND_ALGORITHM2_HPP
+
+#include <language/utils/FunctionSymbolId.hpp>
+#include <mesh/IMesh.hpp>
+#include <scheme/IBoundaryConditionDescriptor.hpp>
+
+#include <memory>
+#include <variant>
+#include <vector>
+
+template <size_t Dimension>
+class HeatDiamondScheme2
+{
+ private:
+ class DirichletBoundaryCondition;
+ class FourierBoundaryCondition;
+ class NeumannBoundaryCondition;
+ class SymmetryBoundaryCondition;
+
+ public:
+ HeatDiamondScheme2(std::shared_ptr<const IMesh> i_mesh,
+ const std::vector<std::shared_ptr<const IBoundaryConditionDescriptor>>& bc_descriptor_list,
+ const FunctionSymbolId& T_id,
+ const FunctionSymbolId& kappa_id,
+ const FunctionSymbolId& f_id);
+};
+
+#endif // HEAT_DIAMOND_ALGORITHM2_HPP
--
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